次の実数の整数部分と小数部分を求めよう。
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【解答】
\def\Mondai{7.654} \def\Seisu{7} \def\Syousu{= 0.654} \def\SeisuN{8} \newcommand\colNS[2]{\color{#1}#2\color{black}} \newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}} \newcommand\colMM[2]{\color{#1}\scriptsize #2\color{black}} \newcommand\colBX[2]{\colorbox{#1}{#2}} \newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}} \begin{align*} \colBX{mistyrose}{$\Seisu$} &< \Mondai < \colBX{mistyrose}{$\Seisu$} +1 \color{lightgray}=\SeisuN\\ & であるから\\ \\ \Mondai & \ の整数部分は \colBX{mistyrose}{$\Seisu$}\\ \\ \colBX{palegreen}{$\Mondai$} & \ の小数部分は\\ & \colBX{palegreen}{$\Mondai$} - \colBX{mistyrose}{$\Seisu$} \Syousu \end{align*} %1 orange,bisque %2 green,palegreen %3 magenta, violet %4 deepskyblue, lightcyan
↓この問題へのリンクはこちら(右クリックで保存)
【解答】
\def\Mondai{\sqrt{2}} \def\MondaiZ{2} \def\Seisu{1} \def\Syousu{=\sqrt{2}-1} \def\SeisuN{2} \newcommand\colNS[2]{\color{#1}#2\color{black}} \newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}} \newcommand\colMM[2]{\color{#1}\scriptsize #2\color{black}} \newcommand\colBX[2]{\colorbox{#1}{#2}} \newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}} \begin{align*} \color{lightgray}\Seisu^2 &\color{lightgray}< \ \ \MondaiZ\ < \SeisuN^2\\ \color{lightgray}\sqrt{\Seisu^2} &\color{lightgray}< \Mondai < \sqrt{\SeisuN^2}\\ \color{lightgray}|\,\Seisu\,| &\color{lightgray}< \Mondai < |\,\SeisuN\,|\\ \color{lightgray}\Seisu &\color{lightgray}< \Mondai < \SeisuN\\ \\ \colBX{mistyrose}{$\Seisu$} &< \Mondai < \colBX{mistyrose}{$\Seisu$} +1 \color{lightgray}=\SeisuN\\ & であるから\\ \\ \Mondai & \ の整数部分は \colBX{mistyrose}{$\Seisu$}\\ \\ \colBX{palegreen}{$\Mondai$} & \ の小数部分は\\ & \colBX{palegreen}{$\Mondai$} - \colBX{mistyrose}{$\Seisu$} \Syousu \end{align*} %1 orange,bisque %2 green,palegreen %3 magenta, violet %4 deepskyblue, lightcyan
↓この問題へのリンクはこちら(右クリックで保存)
【解答】
\def\Mondai{\sqrt{2}} \def\MondaiZ{2} \def\Seisu{1} \def\Syousu{=-\sqrt{2}+2} \def\SeisuN{2} \newcommand\colNS[2]{\color{#1}#2\color{black}} \newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}} \newcommand\colMM[2]{\color{#1}\scriptsize #2\color{black}} \newcommand\colBX[2]{\colorbox{#1}{#2}} \newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}} \begin{align*} \color{lightgray}\Seisu^2 &\color{lightgray}< \ \ \MondaiZ\ < \SeisuN^2\\ \color{lightgray}\sqrt{\Seisu^2} &\color{lightgray}< \Mondai < \sqrt{\SeisuN^2}\\ \color{lightgray}|\,\Seisu\,| &\color{lightgray}< \Mondai < |\,\SeisuN\,|\\ \color{lightgray}\Seisu &\color{lightgray}< \Mondai < \SeisuN\\ \color{lightgray}-\Seisu &\color{lightgray}> -\Mondai > -\SeisuN\\ \\ \colBX{mistyrose}{$-\SeisuN$} &< -\Mondai < \colBX{mistyrose}{$-\SeisuN$} +1 \color{lightgray}=-\Seisu\\ & であるから\\ \\ -\Mondai & \ の整数部分は \colBX{mistyrose}{$-\SeisuN$}\\ \\ \colBX{palegreen}{$-\Mondai$} & \ の小数部分は\\ & \colBX{palegreen}{$-\Mondai$} - (\colBX{mistyrose}{$-\SeisuN$}) \Syousu \end{align*} %1 orange,bisque %2 green,palegreen %3 magenta, violet %4 deepskyblue, lightcyan
↓この問題へのリンクはこちら(右クリックで保存)
【解答】
\def\Mondai{2.1} \def\MondaiZ{2} \def\Seisu{2} \def\Syousu{=-2.1+3=0.9} \def\SeisuN{3} \newcommand\colNS[2]{\color{#1}#2\color{black}} \newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}} \newcommand\colMM[2]{\color{#1}\scriptsize #2\color{black}} \newcommand\colBX[2]{\colorbox{#1}{#2}} \newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}} \begin{align*} \colBX{mistyrose}{$-\SeisuN$} &< -\Mondai < \colBX{mistyrose}{$-\SeisuN$} +1 \color{lightgray}=-\Seisu\\ & であるから\\ \\ -\Mondai & \ の整数部分は \colBX{mistyrose}{$-\SeisuN$}\\ \\ \colBX{palegreen}{$-\Mondai$} & \ の小数部分は\\ & \colBX{palegreen}{$-\Mondai$} - (\colBX{mistyrose}{$-\SeisuN$}) \Syousu \end{align*} %1 orange,bisque %2 green,palegreen %3 magenta, violet %4 deepskyblue, lightcyan
↓この問題へのリンクはこちら(右クリックで保存)
【解答】
\def\Mondai{\sqrt{10}} \def\MondaiZ{10} \def\Seisu{3} \def\Syousu{} \def\SeisuN{4} \newcommand\colNS[2]{\color{#1}#2\color{black}} \newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}} \newcommand\colMM[2]{\color{#1}\scriptsize #2\color{black}} \newcommand\colBX[2]{\colorbox{#1}{#2}} \newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}} \begin{align*} \color{lightgray}\Seisu^2 &\color{lightgray}< \ \ \MondaiZ\ < \SeisuN^2\\ \color{lightgray}\sqrt{\Seisu^2} &\color{lightgray}< \Mondai < \sqrt{\SeisuN^2}\\ \color{lightgray}|\,\Seisu\,| &\color{lightgray}< \Mondai < |\,\SeisuN\,|\\ \color{lightgray}\Seisu &\color{lightgray}< \Mondai < \SeisuN\\ \\ \colBX{mistyrose}{$\Seisu$} &< \Mondai < \colBX{mistyrose}{$\Seisu$} +1 \color{lightgray}=\SeisuN\\ & であるから\\ \\ \Mondai & \ の整数部分は \colBX{mistyrose}{$\Seisu$}\\ \\ \colBX{palegreen}{$\Mondai$} & \ の小数部分は\\ & \colBX{palegreen}{$\Mondai$} - \colBX{mistyrose}{$\Seisu$} \end{align*} %1 orange,bisque %2 green,palegreen %3 magenta, violet %4 deepskyblue, lightcyan
↓この問題へのリンクはこちら(右クリックで保存)
【解答】
\def\Mondai{\sqrt{10}} \def\MondaiZ{10} \def\Seisu{3} \def\Syousu{=-\sqrt{10}+4} \def\SeisuN{4} \newcommand\colNS[2]{\color{#1}#2\color{black}} \newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}} \newcommand\colMM[2]{\color{#1}\scriptsize #2\color{black}} \newcommand\colBX[2]{\colorbox{#1}{#2}} \newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}} \begin{align*} \color{lightgray}\Seisu^2 &\color{lightgray}< \ \ \MondaiZ\ < \SeisuN^2\\ \color{lightgray}\sqrt{\Seisu^2} &\color{lightgray}< \Mondai < \sqrt{\SeisuN^2}\\ \color{lightgray}|\,\Seisu\,| &\color{lightgray}< \Mondai < |\,\SeisuN\,|\\ \color{lightgray}\Seisu &\color{lightgray}< \Mondai < \SeisuN\\ \color{lightgray}-\Seisu &\color{lightgray}> -\Mondai > -\SeisuN\\ \\ \colBX{mistyrose}{$-\SeisuN$} &< -\Mondai < \colBX{mistyrose}{$-\SeisuN$} +1 \color{lightgray}=-\Seisu\\ & であるから\\ \\ -\Mondai & \ の整数部分は \colBX{mistyrose}{$-\SeisuN$}\\ \\ \colBX{palegreen}{$-\Mondai$} & \ の小数部分は\\ & \colBX{palegreen}{$-\Mondai$} - (\colBX{mistyrose}{$-\SeisuN$}) \Syousu \end{align*} %1 orange,bisque %2 green,palegreen %3 magenta, violet %4 deepskyblue, lightcyan